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Finding the Fourth Proportional to 671,906, 1,007,859 and 277,922

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Solution

The fourth proportional to 671,906, 1,007,859 and 277,922 is: 416,883

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,906 : 1,007,859 = 277,922 : x
  2. Step 2: Convert to fraction form
    671,906/1,007,859 = 277,922/x
  3. Step 3: Cross multiply
    671,906x = 1,007,859 × 277,922
  4. Step 4: Simplify right side
    671,906x = 280,106,188,998
  5. Step 5: Solve for x
    x = 280,106,188,998/671,906
  6. Step 6: Final answer
    x = 416,883

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.